Mr. Jackson has a total of 12 employees. He wants to buy each employee 3 aprons that will cost $7.79 each, 1 cap that will cost
2 answers:
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Answer:
Step-by-step explanation:
Find the required figure in the attachment. From the figure, <A = <B (alternate interior angle)
Given
∠A=6x+5
∠B=4x+45
Since <A = <B hence;
6x+5 = 4x+45
Collect the like terms
6x-4x = 45-5
2x = 40
Divide both sides by 2;
2x/2 = 40/2
x = 20
Hence the value of x is 20°
Next is to get the measure of <A
Since <A = 6x+5
Substitute x = 20° into the expression
<A = 6(20)+6
<A = 120+6
<A = 126°
Hence the measure of <A is 126°
Complete question is;
A park has a 3 meter tall tether ball pole and a 6.8 m tall flagpole. The lengths of their shadows are proportional to their heights.
Which of the following could be the lengths of the shadows?
Choose 2 answers from the options attached.
Answer:
Options B & D
Step-by-step explanation:
From the question, the proportional relationship between the height and shadow length is a direct proportionality. This means that an increase in the height, leads to an increase in the length of shadow and vice versa. Thus, the height to shadow length ratio is a constant.
Now, if we use x and y to denote length of shadow of tether ball pole and length of flagpole receptively, we will have;
3/x = 6.8/y
Let's make y the subject.
y = 6.8x/3
Looking at the options;
Option A: When x = 1.35 m, we have;
y = (6.8 × 1.35)/3 = 3.06 m
For Option B:
When x = 1.8 m,
y= (6.8 × 1.8)/3 = 4.08 m
For Option C:
When x= 3.75 m,
y = (6.8 × 3.75)/3 = 8.5 m
For option D:
When x = 0.6
y = (6.8 × 0.6)/3 = 1.36 m
For option E;
When x = 2,
y = (6.8 × 2)/3 = 4.533 m
From our calculations, the only values of y that correspond with the given value of y in the options are Options B & D
